When the man is refused entry to the bus, the passengers inside the bus are seen and there is a women sitting behind the man with the newspaper. In the next shot inside the bus this seat is empty and she cannot be seen anywhere even though it is "real time" and little more than ten seconds has passed.
When the bus pulls up to the traffic lights, it's destination display is lit up plus several small lights around it, but in the far shot where it explodes these are not lit up, even before the explosion.
After Jack is tortured and stabbed he heals remarkably quickly and has no lasting injuries.
Fayed is alternately called "Fayed" and "Abu Fayed." "Abu Fayed" literally means "Father of Fayed," and would be a nickname used by his friends, rather than being his own name. He can either be "Fayed" or "Abu Fayed" (in which case his own name would be something completely different), but he can't possibly be both.
Around 30 minutes in, when Jack is being bundled into the van by the terrorists, he gets punched in the face and knocked unconscious. Literally 5 seconds later as he is being laid down in the van, the blood running down the side of his face is all dry. This would not have been long enough for the blood to run down his face, never mind to congeal as shown.
While being tortured it's logical to assume the Chinese government wouldn't provide healthy foods and liquids, they would provide the bare essentials for him to live long enough to be exchange. Jack's physical condition would show that the very least is severely dehydrated, malnourished.
About two minutes into the episode a suicide bomber blows up a bus in Los Angeles. About eleven minutes into the episode (nine minutes later), Bill Buchanan briefs Jack on the conditions of his release and states that a terrorist attack was perpetrated "15 minutes ago here in Los Angeles." This is not possible in the "real time" scenario of the series. Bill Buchanan is unlikely to be referring to a different attack.